Rational numbers are impossible!
@AlexandraKitty wrote: Numbers may not be rational, but they are always sensible.Because one plus one equals a bigger one and all equations equal infinity... Read full topic
View ArticleRational numbers are impossible!
@nscafe wrote: I love math; conceptually. Applying artificial barriers around concepts (the natural world) to try and make them understandable or at the very least usable as a resource to humanity....
View ArticleRational numbers are impossible!
@WalterPlinge wrote: I'm probably not the target audience for these videos, but I'm very glad they exist. It's impressive how she manages to touch on multiple areas of more advanced mathematics, while...
View ArticleRational numbers are impossible!
@dstop75 wrote: I can't pretend I understand all of this, but the 0% thing doesn't make sense to me. Just because the dart has a 0% chance of hitting a specific real number you choose in advance...
View ArticleRational numbers are impossible!
@PrometheanSky wrote: If I follow what's going correctly, it's because you're dividing by infinity. These maths start to get pretty counterintuitive. One of these days I'm going to get around to...
View ArticleRational numbers are impossible!
@catgrin wrote: It may help to think of it this way - I really hope this isn't more confusing. The number line you usually see contains only integers, whole numbers (and zero). It goes on forever to...
View ArticleRational numbers are impossible!
@WalterPlinge wrote: This is more-or-less because the concept of infinity is hard to grasp. There are "infinitely many" integers (i.e. whole numbers), "infinitely many" rationals, and "infinitely...
View ArticleRational numbers are impossible!
@dstop75 wrote: Great explanations, thanks, and I realize I confused real numbers withrational numbers in my original question. Even so, it seems like theprobability approaches zero or calculates as...
View ArticleRational numbers are impossible!
@mike4 wrote: I think she has it exactly backward. You can only hit rational numbers on the number line. Consider 1/2, that is the ratio of 1 to 2, not one divided by two. We can hit that with a dart...
View ArticleRational numbers are impossible!
@chenille wrote: The metaphor of a dart is about picking a number at random rather than writing out an exact value. It's true there are more real numbers than there are ways to write a finite string...
View ArticleClik here to view.
Rational numbers are impossible!
@davide405 wrote: Hello Mike, welcome to the BoingBoing forums I think by "hit with a dart" she means: randomly select one of the infinite number of points on the real number line. Put another way,...
View ArticleRational numbers are impossible!
@WalterPlinge wrote: Keep in mind that my explanation is very informal, since it basically amounts to saying "even though they're both infinite, there are infinitely many more real numbers than...
View ArticleRational numbers are impossible!
@catgrin wrote: Hi Mike, I hope you don't feel piled up on. The irrational numbers just sit between the rational numbers. You can give them any useful name, and you can estimate their location on a...
View ArticleClik here to view.
Rational numbers are impossible!
@AcerPlatanoides wrote: mike4: if you mean by "hitting with a dart" "retrieving the number's value". I don't think that's what she meant, but I like what you said! Read full topic
View ArticleClik here to view.
Rational numbers are impossible!
@jerwin wrote: catgrin: Because you can't express irrational numbers algebraically, you have to arrange them in relationship to real numbers and other irrational numbers, but they're still...
View ArticleRational numbers are impossible!
@catgrin wrote: Edited for clarity: I wasn't referring to the set of all irrationals - I was referring to their individual placement on a number line. Sorry if that wasn't clear somehow. To better...
View ArticleRational numbers are impossible!
@jeff_allen wrote: Watch it all the way through. Wait for it... wait for it... the last 3 words are gold. Read full topic
View ArticleRational numbers are impossible!
@doctorow wrote: This topic was automatically closed after 5 days. New replies are no longer allowed. Read full topic
View Article